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Finding the Fourth Proportional to 97,850.16, 135,033.84 and 53,138.16

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Solution

The fourth proportional to 97,850.16, 135,033.84 and 53,138.16 is: 73,331.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,850.16 : 135,033.84 = 53,138.16 : x
  2. Step 2: Convert to fraction form
    97,850.16/135,033.84 = 53,138.16/x
  3. Step 3: Cross multiply
    97,850.16x = 135,033.84 × 53,138.16
  4. Step 4: Simplify right side
    97,850.16x = 7,175,449,795.33
  5. Step 5: Solve for x
    x = 7,175,449,795.33/97,850.16
  6. Step 6: Final answer
    x = 73,331.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.